Advances in Sampling Theory- Ratio Method of Estimation


by

Hulya Cingi, Cem Kadilar

DOI: 10.2174/97816080501231090101
eISBN: 978-1-60805-012-3, 2009
ISBN: 978-1-60805-646-0



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Indexed in: Scopus

This is an ideal textbook for researchers interested in sampling methods, survey methodologists in government organizations, academic...[view complete introduction]

Table of Contents

Foreword

- Pp. i- (1)

Sat Gupta

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Preface

- Pp. ii- (1)

Hulya Cingi and Cem Kadilar

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Contributors

- Pp. iii

HULYA CINGI and CEM KADILAR

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Ratio Estimators For The Population Mean In The Simple Random Sampling

- Pp. 1-20 (20)

Hulya Cingi and Cem Kadilar

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Ratio Estimators For The Population Variance In The Simple Random Sampling

- Pp. 21-38 (18)

Hulya Cingi and Cem Kadilar

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Complex Estimators In The Simple Random Sampling

- Pp. 39-66 (28)

Hulya Cingi and Cem Kadilar

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Chain Estimators In The Simple Random Sampling

- Pp. 67-77 (11)

Hulya Cingi and Cem Kadilar

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Estimators In The Ranked Set Sampling

- Pp. 78-91 (14)

Hulya Cingi and Cem Kadilar

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Estimators In The Stratified Random Sampling

- Pp. 92-116 (25)

Hulya Cingi and Cem Kadilar

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References

- Pp. 117-121 (5)

HULYA CINGI and CEM KADILAR

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Index

- Pp. 122-123 (2)

Hulya Cingi and Cem Kadilar

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Foreword

Written by two of the most prolific researchers in the area of sampling theory and survey methodology, Advances in Sampling Theory- Ratio Method of Estimation by Bentham Science Publisher is a wonderful resource for anyone who wants to work in the area of sampling theory in general and in the area of ratio and regression estimation in particular. The authors, Professor Hulya Cingi and Professor Cem Kadilar have published extensively on this topic and have drawn heavily not only from their own work, but also from the work of other researchers in the field. Most of the existing versions of the ratio and regression estimators under different sampling designs are covered in this book. Use of Taylor’s Series approximations is illustrated very effectively using different estimators. Overall, the book is a nice blend of theory and applications and can be used equally effectively both by researchers in this field and by survey data analysts

Sat Gupta, PhD
Professor of Statistics
The University of North Carolina at Greensboro
Editor: Journal of Statistical Theory and Practice
USA


Preface

This is an ideal textbook and reference source for researchers interested in sampling methods, survey methodologists in government organizations, academicians, and graduate students in statistics, mathematics and biostatistics. This textbook can be evaluated as an introduction to the methodology and applications of the advanced topics of the sampling theory. Requiring only basic sampling information, this text is one of the few to offer a graduate-level introduction to have adequate knowledge of proposing complex estimators in sampling theory. Because of this aim, “Advances in Sampling Theory-Ratio Method of Estimation” makes difficult concepts easy to grasp for the readers and many theoretical discussions about the latest estimators in literature are incorporated into almost all of the chapters. This feature helps the academicians acquire necessary skills to follow up recent studies on their own. Therefore, this book is sufficiently detailed to enable the reader to learn advanced topics and develop new methods without outside assistance. More than just an introductory text, the reader, who has mastered the contents of this book, will be in the level of making a major contribution to the technical and research literature for sampling theory.

This book is almost formed by the scientific articles in literature. Therefore, the authors are thankful to all scientists having contributions to the sampling literature

In Chapters 1 and 2, we emphasize the basic concept of “Mean Square Error” based on theory of Statistics by using the estimators for the population mean and population variance, respectively. In Chapter 3, we explain all aspects of the Taylor Series Method in detail with the aid of many estimators in literature. In the last three chapters, the practice of this method is clearly presented by utilizing the estimators grouped as chain estimators, estimators using the Ranked Set Sampling, and the estimators in the Stratified Random Sampling

We hope that the academicians can propose lots of new efficient estimators on this topic in the forthcoming studies by this book.

Hulya Cingi
Hacettepe University
Turkey
&
Cem Kadilar
Hacettepe University
Turkey

List of Contributors

Author(s):
Hulya Cingi
Hacettepe University
Turkey


Cem Kadilar
Hacettepe University
Turkey




Contributor(s):
Hulya Cingi
Professor, Faculty of Science Department of Statistics Beytepe
Hacettepe University
Ankara, 06800
Turkey


Cem Kadilar
Associate Professor, Faculty of Science Department of Statistics Beytepe
Hacettepe University
Ankara, 06800
Turkey




Reviews

Reviews

For anyone working in this area [Ratio estimation], this book wll prove to be an excellent resource…Overall the book is a nice blend of theory and application… ” – Javid Shabbir

Journal of Statistical Theory and Practice – Grace Scientific Publishing, September 2010 (volume 4; issue 3)

Application of Alternative Food-Preservation Technologies to Enhanced Food Safety and Stability “This new book would be very useful for the higher level undergraduate and graduate students, academic and industry professionals. There are many books on food preservation in the market, but very few of them covered the topics on natural preservatives, risk assessments and microbial predictions.” - Mohammad Shafiur Rahman

International Journal of Food Properties – Taylor &Francis, Volume 14, Issue 6, October 2011
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